New construction of resilient functions with satisfying multiple cryptographic criteria
InfoSecu '04 Proceedings of the 3rd international conference on Information security
Highly Nonlinear Resilient Functions Through Disjoint Codes in Projective Spaces
Designs, Codes and Cryptography
Construction of Resilient Functions with Multiple Cryptographic Criteria
CANS '08 Proceedings of the 7th International Conference on Cryptology and Network Security
On guess and determine cryptanalysis of LFSR-based stream ciphers
IEEE Transactions on Information Theory
Efficient representation and software implementation of resilient maiorana-mcfarland s-boxes
WISA'04 Proceedings of the 5th international conference on Information Security Applications
Constructions of 1-resilient Boolean functions on odd number of variables with a high nonlinearity
Security and Communication Networks
Construction of highly nonlinear resilient S-boxes with given degree
Designs, Codes and Cryptography
A recursive construction of highly nonlinear resilient vectorial functions
Information Sciences: an International Journal
| Hi-index | 754.90 |
We provide a new generalized construction method for highly nonlinear t-resilient functions, F:F2n→ F2m. The construction is based on the use of linear error-correcting codes together with highly nonlinear multiple output functions. Given a linear [u, m, t+1] code we show that it is possible to construct n-variable, m-output, t-resilient functions with very high nonlinearity for nu. The method provides the currently best known nonlinearity results for most of the cases.